10994131747600 has 135 divisors (see below), whose sum is σ = 26581912771743. Its totient is φ = 4369773957120.

The previous prime is 10994131747567. The next prime is 10994131747601. The reversal of 10994131747600 is 674713149901.

The square root of 10994131747600 is 3315740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1768187191824 + 9225944555776 = 1329732^2 + 3037424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10994131747601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12798755971 + ... + 12798756829.

Almost surely, 2^{10994131747600} is an apocalyptic number.

10994131747600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10994131747600 is the 3315740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10994131747600

10994131747600 is an abundant number, since it is smaller than the sum of its proper divisors (15587781024143).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10994131747600 is an frugal number, since it uses more digits than its factorization.

10994131747600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 10994131747600 in words is "ten trillion, nine hundred ninety-four billion, one hundred thirty-one million, seven hundred forty-seven thousand, six hundred".